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121944160 = 25513232549
BaseRepresentation
bin1110100010010…
…11100001100000
322111110101221101
413101023201200
5222204203120
620033404144
73010336222
oct721134140
9274411841
10121944160
116291a4a8
1234a09654
131c357b10
14122a4412
15aa8b90a
hex744b860

121944160 has 96 divisors (see below), whose sum is σ = 323870400. Its totient is φ = 43051008.

The previous prime is 121944143. The next prime is 121944161. The reversal of 121944160 is 61449121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121944161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46566 + ... + 49114.

It is an arithmetic number, because the mean of its divisors is an integer number (3373650).

Almost surely, 2121944160 is an apocalyptic number.

121944160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121944160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161935200).

121944160 is an abundant number, since it is smaller than the sum of its proper divisors (201926240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121944160 is a wasteful number, since it uses less digits than its factorization.

121944160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 121944160 is about 11042.8329698497. The cubic root of 121944160 is about 495.8918859052.

The spelling of 121944160 in words is "one hundred twenty-one million, nine hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 65 80 92 104 115 130 160 184 208 230 260 299 368 416 460 520 598 736 920 1040 1196 1495 1840 2080 2392 2549 2990 3680 4784 5098 5980 9568 10196 11960 12745 20392 23920 25490 33137 40784 47840 50980 58627 66274 81568 101960 117254 132548 165685 203920 234508 265096 293135 331370 407840 469016 530192 586270 662740 762151 938032 1060384 1172540 1325480 1524302 1876064 2345080 2650960 3048604 3810755 4690160 5301920 6097208 7621510 9380320 12194416 15243020 24388832 30486040 60972080 121944160